Welcome to today's lesson on Standard Math Algorithms in Java. Many software engineering problems require understanding and application of standard math algorithms. They form the basis of many complex real-life implementations. As a programmer, your expertise in using math algorithms in Java not only helps you solve complex problems efficiently but also gives you confidence in handling data-intensive tasks. In this lesson, we will specifically delve into the use of prime numbers, an important area under standard math algorithms.

Let's consider a simple use case — identifying if a number is prime or not. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. Here's a quick and efficient way to check if a number n is prime: we iterate through 2 to the square root of n. If n is divisible by any of these numbers, it's not a prime number. If n is not divisible by any of the numbers in the range, then it's a prime number.

Here is how the solution will look in Java:

Now that we've grasped the idea of handling math problems in Java, let's proceed to practice exercises! This basic understanding of standard math algorithms can be a game-changer in solving multifaceted coding challenges. It's not just about applying a method to solve a problem but more about understanding the logic behind it that paves the way toward becoming a skilled programmer.